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28 March 2024
 
  » arxiv » hep-th/0405057

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Higher Spin Symmetry and N=4 SYM
Niklas Beisert ; Massimo Bianchi ; Jose F. Morales ; Henning Samtleben ;
Date 7 May 2004
Journal JHEP 0407 (2004) 058 DOI: 10.1088/1126-6708/2004/07/058
Subject hep-th
AbstractWe assemble the spectrum of single-trace operators in free N=4 SU(N) SYM theory into irreducible representations of the Higher Spin symmetry algebra hs(2,2|4). Higher Spin representations or YT-pletons are associated to Young tableaux (YT) corresponding to representations of the symmetric group compatible with the cyclicity of color traces. After turning on interactions, YT-pletons decompose into infinite towers of representations of the superconformal algebra PSU(2,2|4) and anomalous dimensions are generated. We work out the decompositions of tripletons with respect to the N=4 superconformal algebra PSU(2,2|4) and compute their one anomalous dimensions at large N. We then focus on operators/states sitting in semishort superconformal multiplets. By passing them through a semishort-sieve that removes superdescendants, we derive compact expressions for the partition function of semishort primaries.
Source arXiv, hep-th/0405057
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